Optimized Capacitor Placement Considering Load and Network Variability

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Optimized Capacitor Placement Considering Load and Network Variability Andre Abel Augusto1 · Julio Cesar Stacchini de Souza1 · Milton Brown Do Coutto Filho2 · Helder Roberto de Oliveira Rocha3 · Johnny Edward Villavicencio Tafur1,4 Received: 29 April 2020 / Revised: 30 July 2020 / Accepted: 18 August 2020 © Brazilian Society for Automatics--SBA 2020

Abstract This paper proposes a methodology for the optimized location and sizing of capacitor banks in distribution networks. The variabilities of system load and grid configuration are both considered. Cluster analysis on daily load curves is employed to model the load variability adequately, while changes in the grid configuration concern feeders’ reconfigurations associated with load transfers among them. Voltage profile improvement, energy loss reduction, and minimization of installation costs are pursued objectives, selected here for planning the investment in capacitor banks. The problem is combinatorial in nature and its solution using a genetic algorithm is proposed. Tests with a real distribution system are performed, exploring the knowledge about common network switching operations and employing system loading measurement data. The obtained results show the importance of adequately considering, during the planning phase, loading and topological conditions to which the distribution system will be submitted during operation. Keywords Capacitor placement · Voltage regulation · Optimization · Power system

1 Introduction Distribution systems have experienced fast and significant changes in the last decades, making operation/planning problems more complex. The allocation of capacitor banks in distribution grids aims to reduce power losses and provide voltage profile control. The optimal capacitor placement problem has been the subject of many studies in the technical literature, in which the best locations/ratings of capacitor banks to be installed are determined. Aspects such as power loss reduction, control of voltage profile, and minimization of investment costs are usually sought. Some of these objec-

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Johnny Edward Villavicencio Tafur [email protected]

1

Department of Electrical Engineering, Fluminense Federal University, Niterói, Brazil

2

Institute of Computing, Fluminense Federal University, Niterói, Brazil

3

Department of Computing and Electronics, Espírito Santo Federal University, São Mateus, Brazil

4

National Service of Commercial Learning Faculty, Rio De Janeiro, Brazil

tives are clearly antagonistic and the optimal solution will be the one in which the best trade-off among them is achieved. Different approaches have been proposed to solve the optimal capacitor placement problem by employing analytical methods and optimization techniques (Ng et al. 2000; Gallego et al. 2001; Bala et al. 1995; Lee and ElSharkawi 2002). A constructive heuristic can be found in (Silva et al. 2008). Aiming to deal with the combinatorial nature and complexity of the problem (which is in general multi-objective, multimodal, nonlinear, discontinuous, or non